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Finding the Third Proportional to 969,578 and 2,083,084

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Solution

The third proportional to 969,578 and 2,083,084 is: 4,475,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,578 : 2,083,084 = 2,083,084 : x
  2. Step 2: Convert to fraction form
    969,578/2,083,084 = 2,083,084/x
  3. Step 3: Cross multiply
    969,578x = 2,083,084 × 2,083,084
  4. Step 4: Simplify right side
    969,578x = 4,339,238,951,056
  5. Step 5: Solve for x
    x = 4,339,238,951,056/969,578
  6. Step 6: Final answer
    x = 4,475,389.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.